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# Tom Cruise Lines Maturing Bonds: Compute price of bond, PV

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Tom Cruise Lines, Inc., issued bonds five years ago at \$1,000 per bond. These bonds had a 25-year life when issued and the annual interest payment was then 12 percent. This return was in line with the required returns by bondholders at that point as described below:
Real rate of return . . . . . . . . . . . . 3%
Inflation premium. . . . . . . . . . . . . 5
Risk premium . . . . . . . . . . . . . . . 4
Total return . . . . . . . . . . . . . . . . 12%

Assume that five years later the inflation premium is only 3 percent and is appropriately reflected in the required return (or yield to maturity) of the bonds. The bonds have 20 years remaining until maturity. Compute the new price of the bond.

Further analysis
a. Find the present value of 2 percent _ \$1,000 (or \$20) for 20 years at 10 percent. The \$20 is assumed to be an annual payment.
b. Add this value to \$1,000.

#### Solution Preview

Rate = 3%+3%+4% = 10%
Period = 20 remaining years
Payment = \$1,000 * 12% = \$120
Future Value = ...

#### Solution Summary

The solution displays the formulas and the answers with some explanation.

\$2.19